## Abstract

The linear model of coregionalization (LMC) is generally fit to multivariate geostatistical data by minimizing a least-squares criterion. It is commonly believed that weighting the criterion by inverse variances will reduce the influence of those variables with large variance. We point out that this need not be so, and that in some cases the weights will have no effect whatsoever on the estimated sill matrices. When there is an effect, it is due not to a reduction of these variables' influence, but rather due to a lack of invariance of the minimization problem; moreover, sometimes the influence may actually increase. The correct way to reduce influence is to fit the LMC after standardizing the variables to have unit variance.

Original language | English |
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Pages (from-to) | 505-512 |

Number of pages | 8 |

Journal | Mathematical Geosciences |

Volume | 44 |

Issue number | 4 |

DOIs | |

State | Published - May 2012 |

Externally published | Yes |

## Keywords

- Factor analysis
- Invariance
- Linear model of coregionalization
- Principal components
- Standardization

## ASJC Scopus subject areas

- Mathematics (miscellaneous)
- Earth and Planetary Sciences (all)